On the Composition of Convex Envelopes for Quadrilinear Terms-Reference-Cited by-同舟云学术

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On the Composition of Convex Envelopes for Quadrilinear Terms

Published:2012-10-16 Issue: Volume: Page:1-16
ISSN:1931-6828
Container-title:Optimization, Simulation, and Control
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Author:

Belotti Pietro,Cafieri Sonia,Lee Jon,Liberti Leo,Miller Andrew J.

Publisher

Springer New York

Link

http://link.springer.com/content/pdf/10.1007/978-1-4614-5131-0_1.pdf

Reference31 articles.

1. C.S. Adjiman, S. Dallwig, C.A. Floudas, and A. Neumaier. A global optimization method, αBB, for general twice-differentiable constrained NLPs: I. Theoretical advances. Computers & Chemical Engineering, 22(9):1137–1158, 1998.

2. F.A. Al-Khayyal and J.E. Falk. Jointly constrained biconvex programming. Mathematics of Operations Research, 8(2):273–286, 1983.

3. K.M. Anstreicher. Semidefinite programming versus the reformulation-linearization technique for nonconvex quadratically constrained quadratic programming. Journal of Global Optimization, 43(2-3):471–484, 2009.

4. X. Bao, N.V. Sahinidis, and M. Tawarmalani. Multiterm polyhedral relaxations for nonconvex, quadratically constrained quadratic programs. Optimization Methods and Software, 24:485–504, 2009.

5. P. Belotti, J. Lee, L. Liberti, F. Margot, and A. Wächter. Branching and bounds tightening techniques for non-convex MINLP. Optimization Methods and Software, 24(4):597–634, 2009.

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1. Multivariate McCormick relaxations;Journal of Global Optimization;2014-04-02

2. A Framework for Globally Optimizing Mixed-Integer Signomial Programs;Journal of Optimization Theory and Applications;2013-09-10

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